N=1→an=a1 (first term)=16 (on the graph for n=1)→First term = 16
n=2→an=a2 (second term) = 4 (on the graph for n=2)→Second term = 4
ratio=(Second term)/(First term)=a2/a1=4/16
Simplifying the fraction dividing the numerator (4) by 4 and the denominator (16) by 4:
ratio=(4/4)/(16/4)→ratio=1/4
Answer: Option A. First term = 16, ratio = 1/4
8) factor 6+17g+10g^2
10g^2+17g+6
(5g+6)(2g+1)
C is the answer.
9) which one is a perfect square?
4x^2-14x+49 doesn't factor
4x^2-28x+49=(2x-7)(2x-7)
x^2-x+1 doesn't factor
x^2-2x+2 doesn't factor
B is the answer.
11) factor y^2-2y-48
(y+6)(y-8)
D is the answer
12) for the last one you can multiply the answers out of factor.
Sorry this took forever. It's hard to use the website cuz I'm used to the app.
Best wishes!
Answer: 45 / 40 ft
Step-by-step explanation:
Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?
Actual width of shorter side = 45 ft
New width of shorter side = 40 ft
Scale factor is the ratio of the actual length to the new or intended length
Scale factor = Actual width / New width
Hence, scale factor :
45 ft / 40 ft
Answer:
5) 3x - 10 = x + 4
answer: 7
6) 6x + 4 = x - 11
answer: -3
Step-by-step explanation:
3x - 10 = x + 4
x = 7
6x + 4 = x - 11
x = -3